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If e is unity vector perpendicular to th...

If e is unity vector perpendicular to the plane determined by the points ` 2hati + hatj + hatk , hati - hatj + hatk - hatj + hatk` and ` - hati + hatj - hatk ` . If ` a = 2 hati -3 hatj + 6 hatk` , then the projection vector of a on e is

A

`11/14 ( - 2 hati + hatj + 3 hatk) `

B

`1/3 (hati - 2hatj+ 2hatk)`

C

`1/7 (2hati - 3hatj + 6hatk)`

D

`(1)/(sqrt14) (2 hati - hatj + 3 hatk)`

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The correct Answer is:
A
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